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Finding the Fourth Proportional to 12,881.86, 19,324.61 and 4,114.72

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Solution

The fourth proportional to 12,881.86, 19,324.61 and 4,114.72 is: 6,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.86 : 19,324.61 = 4,114.72 : x
  2. Step 2: Convert to fraction form
    12,881.86/19,324.61 = 4,114.72/x
  3. Step 3: Cross multiply
    12,881.86x = 19,324.61 × 4,114.72
  4. Step 4: Simplify right side
    12,881.86x = 79,515,378.27
  5. Step 5: Solve for x
    x = 79,515,378.27/12,881.86
  6. Step 6: Final answer
    x = 6,172.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.